Algebra Word Problem

A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the dimensions of the original rectangle?

I don't quite understand the correct process to go through when doing this, so could you show me how you get the answer? Thanks again guys!

A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the dimensions of the original rectangle?

I don't quite understand the correct process to go through when doing this, so could you show me how you get the answer? Thanks again guys!